Question

state whether the rational number ³/70 has terminating decimal expansion or a non terminating repeating decimal expansion

Answer 1

is it 3/70
then
$\frac{ 3}{7 \times 5 \times 2}$

it is non terminating reccuring because it is having
7 in its prime factorisation in presence of 2 and 5

Answer 2

We are given, 
             3/70
= 3/10*7 = 3/2*5*7

Clearly, Denominator has one more factor other than 2 and 5,
Hence, 3/70 has a on terminating repeating decimal expansion